Quaternary Neural Belief Propagation Decoding of Quantum LDPC Codes With Overcomplete Check Matrices
Abstract:
Quantum low-density parity-check (QLDPC) codes are promising candidates for error
correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum
computers is the lack of a universal decoder. In this work, we first propose to decode QLDPC codes with
a belief propagation (BP) decoder operating on overcomplete check matrices. Then, we extend the neural
BP (NBP) decoder, which was originally studied for suboptimal binary BP decoding of QLPDC codes,
to quaternary BP decoders. Numerical simulation results demonstrate that both approaches as well as their
combination yield a low-latency, high-performance decoder for several short to moderate length QLDPC
codes.
correction in quantum computers. One of the major challenges in implementing QLDPC codes in quantum
computers is the lack of a universal decoder. In this work, we first propose to decode QLDPC codes with
a belief propagation (BP) decoder operating on overcomplete check matrices. Then, we extend the neural
BP (NBP) decoder, which was originally studied for suboptimal binary BP decoding of QLPDC codes,
to quaternary BP decoders. Numerical simulation results demonstrate that both approaches as well as their
combination yield a low-latency, high-performance decoder for several short to moderate length QLDPC
codes.
| Zugehörige Institution(en) am KIT | Communications Engineering Lab (CEL) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsdatum | 05.02.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 2169-3536 KITopen-ID: 1000179617 |
| Erschienen in | IEEE Access |
| Verlag | Institute of Electrical and Electronics Engineers (IEEE) |
| Band | 13 |
| Seiten | 25637–25649 |
| Nachgewiesen in | Dimensions OpenAlex Web of Science Scopus |